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The electromagnetic and Proca fields revisited: A unified quantization

AuthorsAldaya, Víctor ; Calixto, Manuel; Navarro Navarro, Miguel
KeywordsProca Cuantización unificada
Campos electromagnéticos
Matemática Aplicada
Issue Date1997
PublisherWorld Scientific Publishing
CitationInternational Journal of Modern Physics A 12: 3609- 3623 (1997)
AbstractQuantizing the electromagnetic field with a group formalism faces the difficulty of how to turn the traditional gauge transformation of the vector potential, Aμ(x) → Aμ(x) + ∂μφ(x), into a group law. In this paper, it is shown that the problem can be solved by looking at gauge transformations in a slightly different manner which, in addition, does not require introducing any BRST-like parameter. This gauge transformation does not appear explicitly in the group law of the symmetry but rather as the trajectories associated with generalized equations of motion generated by vector fields with null Noether invariants. In the new approach the parameters of the local group, U(1)(x, t), acquire dynamical content outside the photon mass shell, a fact which also allows a unified quantization of both the electromagnetic and Proca fields. © World Scientific Publishing Company.
Identifiersdoi: 10.1142/S0217751X97001869
issn: 0217-751X
Appears in Collections:(IFIC) Artículos
(CFMAC-IFF) Artículos
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